In the figure a solid sphere of radius a = 3.30 cm is concentric with a spherca

Question

In the figure a solid sphere of radius a = 3.30 cm is concentric with a spherca conducting shel of inner radius b 2.00 aan outer ra usc 2.4 a The sphere has a net nifor charge +2.24 fC; the shell has a net charge q2--q1, what is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r-a/2.00, (c) r = a, (d) r-1.50a, (e) r = 2.30a, and (f) What is the net charge on the (g) inner and (h) outer surface of the shell? 3.50a? (a) Number (b) Number (c) Number (d) Number (e) Number (f) Number Units Units Units Units Units Units

Explanation / Answer

a)
At r = 0, E = 0

b)
At r = a/2
E = 1/4piE0 * q1/a^3 * a/2
= 1/4piE0 * q1/2a^2
= 9e9 * (2.24e-15)/(2*(3.30*10^-2)^2)
= 0.0093 N/C

c)
At r = a
E = 2*0.93
= 0.0185 N/C

d)
At r = 1.5a
E = 9e9 * (2.24e-15)/(1.5*3.30*10^-2)^2
= 0.00823 N/C

e)
For r = 2.3 a
E = 0

f)
E=0

g)

inner surface charge = -q1

h)

outer surface charge = 0

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